Solve (6/35-4/7)-(-1.8-4.3)-5.7

$$( \frac{ 6 }{ 35 } - \frac{ 4 }{ 7 } )-(-1.8-4.3)-5.7$$

Evaluate

$$0$$

Solution Steps

Least common multiple of 35 and 7 is 35. Convert \frac{6}{35} and \frac{4}{7} to fractions with denominator 35.

$$\frac{6}{35}-\frac{20}{35}-\left(-1.8-4.3\right)-5.7$$

Since \frac{6}{35} and \frac{20}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-20}{35}-\left(-1.8-4.3\right)-5.7$$

Subtract 20 from 6 to get -14.

$$\frac{-14}{35}-\left(-1.8-4.3\right)-5.7$$

Reduce the fraction \frac{-14}{35} to lowest terms by extracting and canceling out 7.

$$-\frac{2}{5}-\left(-1.8-4.3\right)-5.7$$

Subtract 4.3 from -1.8 to get -6.1.

$$-\frac{2}{5}-\left(-6.1\right)-5.7$$

The opposite of -6.1 is 6.1.

$$-\frac{2}{5}+6.1-5.7$$

Convert decimal number 6.1 to fraction \frac{61}{10}.

$$-\frac{2}{5}+\frac{61}{10}-5.7$$

Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{61}{10} to fractions with denominator 10.

$$-\frac{4}{10}+\frac{61}{10}-5.7$$

Since -\frac{4}{10} and \frac{61}{10} have the same denominator, add them by adding their numerators.

$$\frac{-4+61}{10}-5.7$$

Add -4 and 61 to get 57.

$$\frac{57}{10}-5.7$$

Subtract 5.7 from \frac{57}{10} to get 0.

$$0$$

Factor

$$0$$